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Finding the Third Proportional to 300,033 and 640,242

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Solution

The third proportional to 300,033 and 640,242 is: 1,366,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,033 : 640,242 = 640,242 : x
  2. Step 2: Convert to fraction form
    300,033/640,242 = 640,242/x
  3. Step 3: Cross multiply
    300,033x = 640,242 × 640,242
  4. Step 4: Simplify right side
    300,033x = 409,909,818,564
  5. Step 5: Solve for x
    x = 409,909,818,564/300,033
  6. Step 6: Final answer
    x = 1,366,215.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.